On Advanced Work in Base Five



Here is a great posting opportunity!
Can you start to summarize what we have done on the green sheet, starting with naming hand number of claps as an encore? Answer any one of the questions below to record how we developed our work. NOTE THAT ALL DIGITS BELOW ARE IN BASE FIVE.
  • Describe (or somehow figure out how to post) drawn representations for 1, 10, 100, 1000 in base five, and describe how you could create drawn representations for higher levels units like 10000, 100000, 1000000. These drawn representations are like "manipulatives" in base five.
  • How do you determine the number of hands in a large number, such as 324 or 1221?
  • How do you determine the number of ones (pennies) in 41 stacks, where there are hand number of pennies in each stack?
  • How do you determine the number of ones (pennies) In 32 stacks, where there are clap number of pennies in each stack?
  • Large numbers in a base system can always be represented in multiple ways. Describe how you can make more than one representation for an number like 321, or 1221, or 12234.
  • Explain how many claps are in 10000.

There are clap number of claps in (10000)5. There are hand number of encores in (10000)5, in each encore you have hand number of claps. Hand number of encores is the same mean with clap number of claps. Therefore you have hand number of (1000)5 which is clap number of (100)5. (Vanessa Niu)